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Main Authors: Ciacco, Mario, Kundu, Sourav, Kuznietsov, Volodymyr A., Puccio, Maximiliano, Vovchenko, Volodymyr
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.30710
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author Ciacco, Mario
Kundu, Sourav
Kuznietsov, Volodymyr A.
Puccio, Maximiliano
Vovchenko, Volodymyr
author_facet Ciacco, Mario
Kundu, Sourav
Kuznietsov, Volodymyr A.
Puccio, Maximiliano
Vovchenko, Volodymyr
contents We study higher-order cumulants of the conserved baryon number at the LHC within the canonical ensemble with local baryon conservation. We generalize the density correlations approach of [Phys. Rev. C 110, L061902 (2024)] to incorporate the effect of Gaussian local conservation in spatial rapidity space in cumulants up to 6th order. Gaussian local conservation improves upon the commonly employed $V_c$ approach, yielding comparable predictions at midrapidity, but marked differences for larger rapidity acceptances. Our coordinate-space results are in exact agreement with the diffusion master equation approach for all cumulant ratios up to $κ_6/κ_2$. Using the blast-wave model to apply kinematic cuts, we obtain predictions for net-proton cumulants in O--O and Pb--Pb collisions at the LHC that establish an ideal hadron gas baseline. We find that local baryon conservation alone can drive $κ_6/κ_2$ to small or even negative values in restricted acceptance, a behavior often associated with chiral criticality. The conservation baseline must therefore be carefully accounted for when interpreting upcoming LHC measurements.
format Preprint
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institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Canonical statistical hadronization with local baryon conservation for higher-order cumulants
Ciacco, Mario
Kundu, Sourav
Kuznietsov, Volodymyr A.
Puccio, Maximiliano
Vovchenko, Volodymyr
High Energy Physics - Phenomenology
We study higher-order cumulants of the conserved baryon number at the LHC within the canonical ensemble with local baryon conservation. We generalize the density correlations approach of [Phys. Rev. C 110, L061902 (2024)] to incorporate the effect of Gaussian local conservation in spatial rapidity space in cumulants up to 6th order. Gaussian local conservation improves upon the commonly employed $V_c$ approach, yielding comparable predictions at midrapidity, but marked differences for larger rapidity acceptances. Our coordinate-space results are in exact agreement with the diffusion master equation approach for all cumulant ratios up to $κ_6/κ_2$. Using the blast-wave model to apply kinematic cuts, we obtain predictions for net-proton cumulants in O--O and Pb--Pb collisions at the LHC that establish an ideal hadron gas baseline. We find that local baryon conservation alone can drive $κ_6/κ_2$ to small or even negative values in restricted acceptance, a behavior often associated with chiral criticality. The conservation baseline must therefore be carefully accounted for when interpreting upcoming LHC measurements.
title Canonical statistical hadronization with local baryon conservation for higher-order cumulants
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2605.30710